MISSION 45 MHTCET 2026
PHYSICS
DPP: 1
WAVE OPTICS
Q1 The distance between two consecutive points Q5 Two sound waves each of wavelength ' ' and
with phase difference of 60° in wave of having the same amplitude ' A ' from two
frequency 500 Hz is 0.6 m . The velocity with source ' ' and ' ' interfere at a point P . If
which wave is travelling is the path difference, then
the amplitude of resultant wave at point ' P '
(A) 1.8 km/s (B) 9 km/s will be
(C) 3.6 km/s (D) 2.7 km/s
(A) A (B) 2 A
Q2 Velocity of sound waves in air is 330 m/s. For a
(C) (D)
particular sound wave in air, path difference of
40 cm is equivalent to phase difference of (1.6) Q6 Two sound waves having same amplitude ' A '
. The frequency of this wave is and angular frequency. ' ' but having a
phase difference of are superimposed
(A) 165 Hz (B) 150 Hz then the maximum amplitude of the resultant
(C) 660 Hz (D) 330 Hz wave is
Q3 Considering interference between two sources
(A) (B)
of intensities ' I ' and ' 4 I ', the intensity at a
point where the phase difference is is (C) (D) 2 A
.
Q7 In Young's double slit experiment, minimum
(A) I (B) 4 I intensity is obtained when phase difference of
(C) 5 I (D) 3 I the superimposing waves is (n = 1, 2, 3....)
(A) (2n-1)π (B) (n+1)π
Q4 Prong of a vibrating tuning fork is in contact (C) zero (D) nπ
with water surface. It produces concentric
circular waves on the surface of water. The Q8 A string is under tension of 180 N and mass
distance between five consecutive crests is 0.8 per unit length . It produces
m and the velocity of wave on the water two consecutive resonant frequencies with a
surface is 56 m/s. The frequency of tuning fork tuning fork, which are 375 Hz and 450 Hz . The
is mass of the string is
(A) 256 Hz (B) 280 Hz (A) 1 gram (B) 2 gram
(C) 341 Hz (D) 512 Hz (C) 3 gram (D) 4 gram
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, Q9 The pipe open at both ends and pipe closed at Q14 The end correction of resonance tube is 1 cm .
one end have same length and both are If the shortest length resonating with a tuning
vibrating in fundamental mode. Air column fork is 15 cm , the next resonating length will
vibrating in open pipe has resonance be
frequency and air column vibrating in
closed pipe has resonance frequency , then (A) 35 cm (B) 40 cm
(A) (B) (C) 47 cm (D) 64 cm
(C) (D)
Q15 Two sound waves having frequencies 250 Hz
Q10 When the tension in string is increased by and 256 Hz superimpose to produce beat
t, the frequency of the fundamental wave. The resultant beat wave has intensity
mode increases in the ratio 2:3. The initial maximum at t = 0. After how much time an
tension in the string is intensity will be minimum produced at the
same point?
(A) (A) (B)
(B) (C) (D)
(C)
(D) Q16 If the two waves of same amplitude, having
frequencies 340 Hz and 335 Hz , are moving in
Q11 A sonometer wire is stretched by hanging a same direction, then the time interval between
metal bob. The fundamental frequency of two successive maxima formed (in second) is__
vibration of wire is ' ' . When the bob is (A) 0.1 (B) 0.2
completely immersed in water, the frequency (C) 0.3 (D) 0.5
of vibration of wire becomes ' ' . The relative
density of the metal of the bob is Q17 The frequency of two tuning forks A and B are
respectively more and less than that of the
(A) (B) tuning fork C . When A and B are sounded
together, 10 beats are produced in 1 second.
(C) (D)
The frequency of tuning fork C is
(A) 250 Hz (B) 300 Hz
Q12 A pipe 60 cm long and open at both the ends
(C) 340 Hz (D) 400 Hz
produces harmonics. Which harmonic mode of
pipe resonates a 2.2 KHz source? Q18 Two waves and
(Speed of sound in air = 330 m/s) (Neglect end are propagating along
correction) the same direction. The number of beats
(A) First (B) Eighth produced per second are
(C) Third (D) Second (A) (B)
(C) (D)
Q13 The frequency of the third overtone of a pipe
of length ' ', closed at one end is same as
the frequency of the sixth overtone of a pipe
of length ' ', open at both ends. Then the
ratio is
(A) 1:4 (B) 1:2
(C) 2:1 (D) 4:1
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PHYSICS
DPP: 1
WAVE OPTICS
Q1 The distance between two consecutive points Q5 Two sound waves each of wavelength ' ' and
with phase difference of 60° in wave of having the same amplitude ' A ' from two
frequency 500 Hz is 0.6 m . The velocity with source ' ' and ' ' interfere at a point P . If
which wave is travelling is the path difference, then
the amplitude of resultant wave at point ' P '
(A) 1.8 km/s (B) 9 km/s will be
(C) 3.6 km/s (D) 2.7 km/s
(A) A (B) 2 A
Q2 Velocity of sound waves in air is 330 m/s. For a
(C) (D)
particular sound wave in air, path difference of
40 cm is equivalent to phase difference of (1.6) Q6 Two sound waves having same amplitude ' A '
. The frequency of this wave is and angular frequency. ' ' but having a
phase difference of are superimposed
(A) 165 Hz (B) 150 Hz then the maximum amplitude of the resultant
(C) 660 Hz (D) 330 Hz wave is
Q3 Considering interference between two sources
(A) (B)
of intensities ' I ' and ' 4 I ', the intensity at a
point where the phase difference is is (C) (D) 2 A
.
Q7 In Young's double slit experiment, minimum
(A) I (B) 4 I intensity is obtained when phase difference of
(C) 5 I (D) 3 I the superimposing waves is (n = 1, 2, 3....)
(A) (2n-1)π (B) (n+1)π
Q4 Prong of a vibrating tuning fork is in contact (C) zero (D) nπ
with water surface. It produces concentric
circular waves on the surface of water. The Q8 A string is under tension of 180 N and mass
distance between five consecutive crests is 0.8 per unit length . It produces
m and the velocity of wave on the water two consecutive resonant frequencies with a
surface is 56 m/s. The frequency of tuning fork tuning fork, which are 375 Hz and 450 Hz . The
is mass of the string is
(A) 256 Hz (B) 280 Hz (A) 1 gram (B) 2 gram
(C) 341 Hz (D) 512 Hz (C) 3 gram (D) 4 gram
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, Q9 The pipe open at both ends and pipe closed at Q14 The end correction of resonance tube is 1 cm .
one end have same length and both are If the shortest length resonating with a tuning
vibrating in fundamental mode. Air column fork is 15 cm , the next resonating length will
vibrating in open pipe has resonance be
frequency and air column vibrating in
closed pipe has resonance frequency , then (A) 35 cm (B) 40 cm
(A) (B) (C) 47 cm (D) 64 cm
(C) (D)
Q15 Two sound waves having frequencies 250 Hz
Q10 When the tension in string is increased by and 256 Hz superimpose to produce beat
t, the frequency of the fundamental wave. The resultant beat wave has intensity
mode increases in the ratio 2:3. The initial maximum at t = 0. After how much time an
tension in the string is intensity will be minimum produced at the
same point?
(A) (A) (B)
(B) (C) (D)
(C)
(D) Q16 If the two waves of same amplitude, having
frequencies 340 Hz and 335 Hz , are moving in
Q11 A sonometer wire is stretched by hanging a same direction, then the time interval between
metal bob. The fundamental frequency of two successive maxima formed (in second) is__
vibration of wire is ' ' . When the bob is (A) 0.1 (B) 0.2
completely immersed in water, the frequency (C) 0.3 (D) 0.5
of vibration of wire becomes ' ' . The relative
density of the metal of the bob is Q17 The frequency of two tuning forks A and B are
respectively more and less than that of the
(A) (B) tuning fork C . When A and B are sounded
together, 10 beats are produced in 1 second.
(C) (D)
The frequency of tuning fork C is
(A) 250 Hz (B) 300 Hz
Q12 A pipe 60 cm long and open at both the ends
(C) 340 Hz (D) 400 Hz
produces harmonics. Which harmonic mode of
pipe resonates a 2.2 KHz source? Q18 Two waves and
(Speed of sound in air = 330 m/s) (Neglect end are propagating along
correction) the same direction. The number of beats
(A) First (B) Eighth produced per second are
(C) Third (D) Second (A) (B)
(C) (D)
Q13 The frequency of the third overtone of a pipe
of length ' ', closed at one end is same as
the frequency of the sixth overtone of a pipe
of length ' ', open at both ends. Then the
ratio is
(A) 1:4 (B) 1:2
(C) 2:1 (D) 4:1
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